(20 points) Two separate randoen samples of workers from a particular industry were selecled wen the following resulls: Sample 1:112 workers were selected and if was found that 50 of them preferted working from home to working in a traditional otice. Sample 2 . The percentage who prefer working from homet to working in a traditional ottce was repocted as 55 percent with a margin of error of (plus or minus) 4 percent: (NOTE Only enter numbers in the blanks provided. For example, to enter 203 percent you would type 20.3 in the blank (just enter the number - do not Sype the quokes). (a) If sample 1 is used to estimate the population percentage, what is the margin of enor? Enter the margh of errof as a percentage rounsed fo one decimal paice. pefcent. (b) If sample 2 is used to estimate the popotation percentage, then an interval that (in the terminobogy of out formuda packet) ralmost certanin? contans the true popusation percentage is: percent to 59 percent. (Enier lower-bound of the imerval in the blank.)